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Finding the Fourth Proportional to 31.68, 47.32 and 24.40

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Solution

The fourth proportional to 31.68, 47.32 and 24.40 is: 36.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.68 : 47.32 = 24.40 : x
  2. Step 2: Convert to fraction form
    31.68/47.32 = 24.40/x
  3. Step 3: Cross multiply
    31.68x = 47.32 × 24.40
  4. Step 4: Simplify right side
    31.68x = 1,154.61
  5. Step 5: Solve for x
    x = 1,154.61/31.68
  6. Step 6: Final answer
    x = 36.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.